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Finding the Fourth Proportional to 2,001.18, 3,001.68 and 614.46

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Solution

The fourth proportional to 2,001.18, 3,001.68 and 614.46 is: 921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.18 : 3,001.68 = 614.46 : x
  2. Step 2: Convert to fraction form
    2,001.18/3,001.68 = 614.46/x
  3. Step 3: Cross multiply
    2,001.18x = 3,001.68 × 614.46
  4. Step 4: Simplify right side
    2,001.18x = 1,844,412.29
  5. Step 5: Solve for x
    x = 1,844,412.29/2,001.18
  6. Step 6: Final answer
    x = 921.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.